Extra Set

Grade 7 · Unit 1 · L3 · Version A · 13DF

Proportional relationships

Name ________________

Date ________________

Period ________________

1.
The table shows x and y. What is the constant of proportionality k if y = kx?
x y
1 5
2 10
3 15
4 20
Answer. 5
Each y ÷ x equals 5, so k = 5.
2.
The table shows x and y. What is the constant of proportionality k if y = kx?
x y
1 6
2 12
3 18
4 24
Answer. 6
Each y ÷ x equals 6, so k = 6.
3.
The table shows x and y. What is the constant of proportionality k if y = kx?
x y
1 5
2 10
3 15
4 20
Answer. 5
Each y ÷ x equals 5, so k = 5.
4.
The table shows x and y. What is the constant of proportionality k if y = kx?
x y
1 5
2 10
3 15
4 20
Answer. 5
Each y ÷ x equals 5, so k = 5.
5.
The table shows x and y. What is the constant of proportionality k if y = kx? Then Malik needs 4 of that amount. What is the total they need?
x y
1 3
2 6
3 9
4 12
Answer. 12
Each y ÷ x equals 3, so k = 3. Then multiply by 4: 12.
6.
The table shows x and y. What is the constant of proportionality k if y = kx? Then Luis needs 5 of that amount. What is the total they need?
x y
1 4
2 8
3 12
4 16
Answer. 20
Each y ÷ x equals 4, so k = 4. Then multiply by 5: 20.
7.
The table shows x and y. What is the constant of proportionality k if y = kx? Then Theo needs 2 of that amount. What is the total they need?
x y
1 3
2 6
3 9
4 12
Answer. 6
Each y ÷ x equals 3, so k = 3. Then multiply by 2: 6.
8.
The table shows x and y. What is the constant of proportionality k if y = kx? Then Sam needs 5 of that amount. What is the total they need?
x y
1 5
2 10
3 15
4 20
Answer. 25
Each y ÷ x equals 5, so k = 5. Then multiply by 5: 25.
9.
The table shows x and y. What is the constant of proportionality k if y = kx? Then Theo needs 4 of that amount. What is the total they need?
x y
1 5
2 10
3 15
4 20
Answer. 20
Each y ÷ x equals 5, so k = 5. Then multiply by 4: 20.
10.
The table shows x and y. What is the constant of proportionality k if y = kx? Then Mei needs 2 of that amount. What is the total they need?
x y
1 2
2 4
3 6
4 8
Answer. 4
Each y ÷ x equals 2, so k = 2. Then multiply by 2: 4.
11.
Think
Owen tried this problem:
The table shows x and y. What is the constant of proportionality k if y = kx?
Owen wrote 4. That is not correct. What is the right answer?
x y
1 2
2 4
3 6
4 8
Answer. 2
Owen’s answer 4 is off. Each y ÷ x equals 2, so k = 2.
12.
Think
Ava tried this problem:
The table shows x and y. What is the constant of proportionality k if y = kx?
Ava wrote -6. That is not correct. What is the right answer?
x y
1 6
2 12
3 18
4 24
Answer. 6
Ava’s answer -6 is off. Each y ÷ x equals 6, so k = 6.

x	y
1	5
2	10
3	15
4	20

x	y
1	6
2	12
3	18
4	24

x	y
1	5
2	10
3	15
4	20

x	y
1	5
2	10
3	15
4	20

x	y
1	3
2	6
3	9
4	12

x	y
1	4
2	8
3	12
4	16

x	y
1	3
2	6
3	9
4	12

x	y
1	5
2	10
3	15
4	20

x	y
1	5
2	10
3	15
4	20

x	y
1	2
2	4
3	6
4	8

x	y
1	2
2	4
3	6
4	8

x	y
1	6
2	12
3	18
4	24

Original extra practice. Keys are computed from the items, not guessed.

L3 · Proportional relationships